Pith Number

pith:WXLWZ4QU

pith:2023:WXLWZ4QUSQUG4L2I2BDGSUCJMP

not attested not anchored not stored refs pending

Periodic $q$-Whittaker and Hall-Littlewood processes

Jimmy He, Michael Wheeler

arxiv:2310.03527 v1 · 2023-10-05 · math.PR · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXLWZ4QUSQUG4L2I2BDGSUCJMP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Large time cumulants of the KPZ equation on an interval

Receipt and verification

First computed	2026-07-05T06:57:34.758245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d76cf21494286e2f48d04669504963f6eb3070858cc2eb99a88713926fbbc5

Aliases

arxiv: 2310.03527 · arxiv_version: 2310.03527v1 · doi: 10.48550/arxiv.2310.03527 · pith_short_12: WXLWZ4QUSQUG · pith_short_16: WXLWZ4QUSQUG4L2I · pith_short_8: WXLWZ4QU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WXLWZ4QUSQUG4L2I2BDGSUCJMP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b5d76cf21494286e2f48d04669504963f6eb3070858cc2eb99a88713926fbbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42fdfdbc0078a28655c8842171552a870492c0afcb4b82f3bc03688902153f22",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-05T13:25:58Z",
    "title_canon_sha256": "727751f695d00912df6b0596d454873c77376167e36f74f450404f3454ba3af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03527",
    "kind": "arxiv",
    "version": 1
  }
}